B.5. Example Files

The examples show 2D quadrilateral meshes for easier illustration. The same concepts are applied to 3D meshes.

Example 1

Figure 1: Quadrilateral Mesh illustrates a simple quadrilateral mesh with no periodic boundaries or hanging nodes.

Figure 1: Quadrilateral Mesh

The following describes this mesh:

 (0 "Grid:")
 
 (0 "Dimensions:")
 (2 2)
 
 (12 (0 1 3 0))
 (13 (0 1 a 0))
 (10 (0 1 8 0 2))
 
 (12 (7 1 3 1 3))
 
 (13 (2 1 2 2 2)(
 1 2 1 2 
 3 4 2 3))
 
 (13 (3 3 5 3 2)(
 5 1 1 0 
 1 3 2 0 
 3 6 3 0))
 
 (13 (4 6 8 3 2)(
 7 4 3 0 
 4 2 2 0 
 2 8 1 0))
 
 (13 (5 9 9 a 2)(
 8 5 1 0))
 
 (13 (6 a a 24 2)(
 6 7 3 0))
 
 (10 (1 1 8 1 2)
 (
 1.00000000e+00 0.00000000e+00
 1.00000000e+00 1.00000000e+00
 2.00000000e+00 0.00000000e+00
 2.00000000e+00 1.00000000e+00
 0.00000000e+00 0.00000000e+00
 3.00000000e+00 0.00000000e+00
 3.00000000e+00 1.00000000e+00
 0.00000000e+00 1.00000000e+00))

Example 2

Figure 2: Quadrilateral Mesh with Periodic Boundaries illustrates a simple quadrilateral mesh with periodic boundaries but no hanging nodes. In this example, bf9 and bf10 are faces on the periodic zones.

Figure 2: Quadrilateral Mesh with Periodic Boundaries

The following describes this mesh:

 (0 "Dimensions:")
 (2 2)
 
 (0 "Grid:")
 
 (12 (0 1 3 0))
 (13 (0 1 a 0))
 (10 (0 1 8 0 2))
 
 (12 (7 1 3 1 3))
 
 (13 (2 1 2 2 2)(
 1 2 1 2 
 3 4 2 3))
 
 (13 (3 3 5 3 2)(
 5 1 1 0 
 1 3 2 0 
 3 6 3 0))
 
 (13 (4 6 8 3 2)(
 7 4 3 0 
 4 2 2 0 
 2 8 1 0))
 
 (13 (5 9 9 c 2)(
 8 5 1 0))
 
 (13 (1 a a 8 2)(
 6 7 3 0))
 
 (18 (1 1 5 1)(
 9 a))
 
 (10 (1 1 8 1 2)(
 1.00000000e+00 0.00000000e+00
 1.00000000e+00 1.00000000e+00
 2.00000000e+00 0.00000000e+00
 2.00000000e+00 1.00000000e+00
 0.00000000e+00 0.00000000e+00
 3.00000000e+00 0.00000000e+00
 3.00000000e+00 1.00000000e+00
 0.00000000e+00 1.00000000e+00))

Example 3

Figure 3: Quadrilateral Mesh with Hanging Nodes illustrates a simple quadrilateral mesh with hanging nodes.

Figure 3: Quadrilateral Mesh with Hanging Nodes

The following describes this mesh:

 (0 "Grid:")
 
 (0 "Dimensions:")
 (2 2)
 
 (12 (0 1 7 0))
 (13 (0 1 16 0))
 (10 (0 1 d 0 2))
 
 (12 (7 1 6 1 3))
 (12 (1 7 7 20 3))
 
 (58 (7 7 1 7)(
 4 6 5 4 3))
 
 (13 (2 1 7 2 2)(
 1 2 6 3 
 1 3 3 4 
 1 4 4 5 
 1 5 5 6 
 6 7 1 2 
 5 8 2 6 
 9 5 2 5))
 
 (13 (3 8 b 3 2)(
 a 6 1 0 
 6 9 2 0 
 4 b 4 0 
 9 4 5 0))
 
 (13 (4 c f 3 2)(
 2 8 6 0 
 c 2 3 0 
 8 7 2 0 
 7 d 1 0))
 
 (13 (5 10 10 a 2)(
 d a 1 0))
 
 (13 (6 11 12 24 2)(
 3 c 3 0 
 b 3 4 0))
 
 (13 (b 13 13 1f 2)(
 c 8 7 0))
 
 (13 (a 14 14 1f 2)(
 b c 7 0))
 
 (13 (9 15 15 1f 2)(
 9 b 7 0))
 
 (13 (8 16 16 1f 2)(
 9 8 2 7))
 
 (59 (13 13 b 4)(
 2 d c))
 
 (59 (14 14 a 6)(
 2 12 11))
 
 (59 (15 15 9 3)(
 2 b a))
 
 (59 (16 16 8 2)(
 2 7 6))
 
 (10 (1 1 d 1 2)
 (
 2.50000000e+00 5.00000000e-01
 2.50000000e+00 1.00000000e+00
 3.00000000e+00 5.00000000e-01
 2.50000000e+00 0.00000000e+00
 2.00000000e+00 5.00000000e-01
 1.00000000e+00 0.00000000e+00
 1.00000000e+00 1.00000000e+00
 2.00000000e+00 1.00000000e+00
 2.00000000e+00 0.00000000e+00
 0.00000000e+00 0.00000000e+00
 3.00000000e+00 0.00000000e+00
 3.00000000e+00 1.00000000e+00
 0.00000000e+00 1.00000000e+00))